fossilesque@mander.xyzM to Science Memes@mander.xyzEnglish · 4 months agoI just cited myself.mander.xyzimagemessage-square230fedilinkarrow-up1843arrow-down143
arrow-up1800arrow-down1imageI just cited myself.mander.xyzfossilesque@mander.xyzM to Science Memes@mander.xyzEnglish · 4 months agomessage-square230fedilink
minus-squareSop@lemmy.blahaj.zonelinkfedilinkEnglisharrow-up21·4 months agoThat’s not an axiom or definition, it’s a consequence of the axioms that define arithmetic and can therefore be proven.
minus-squareJohnDClaylinkfedilinkEnglisharrow-up3arrow-down7·4 months agoThere are versions of math where that isn’t true, with infinitesimals that are not equal to zero. So I think it is an axium rather than a provable conclusion.
minus-squareJack RiddlelinkfedilinkEnglisharrow-up7·4 months agoThose versions have different axioms from which different things can be proven, but we don’t define 9.9 repeating as 1
minus-squareFeathercrown@lemmy.worldlinkfedilinkEnglisharrow-up2·4 months agoThat’s not what “axiom” means
That’s not an axiom or definition, it’s a consequence of the axioms that define arithmetic and can therefore be proven.
There are versions of math where that isn’t true, with infinitesimals that are not equal to zero. So I think it is an axium rather than a provable conclusion.
Those versions have different axioms from which different things can be proven, but we don’t define 9.9 repeating as 1
That’s not what “axiom” means